C     DFT OF AUTOCORRELATION OF TAPERED SERIES
C
C     NOTE THAT THIS DFT IS REAL-VALUED.  IF WE MULTIPLY
C     THE NUMBERS IN THE RIGHT-HAND COLUMN BY 0.25 (WHICH
C     IS THE SAMPLING TIME FOR THE TIME SERIES), THEN
C     THE VALUES INDEXED BY k = 0, ..., 32 ARE THE
C     DIRECT SPECTRAL ESTIMATES AT FREQUENCIES f_k = k/(64*0.25) = k/16
C     (NOTE THAT THE NYQUIST FREQUENCY IS 1/(2*0.25) = 2).
  0  2885.91368764283
  1  2921.5716518879567
  2  2978.7566333215086
  3  2948.6774224724154
  4  2747.6453599377005
  5  2372.3841755481935
  6  1891.5731215694896
  7  1397.8383124533102
  8   964.3769683128412
  9   627.8707192077542
 10   392.46824214153116
 11   242.06995072293412
 12   153.14378955747142
 13   104.86121175634638
 14    84.68909036528584
 15    88.15665583797747
 16   113.00468230300868
 17   151.18715764856222
 18   185.52708822024252
 19   196.14593773102803
 20   173.4063118446367
 21   126.40514471912226
 22    78.34391495927257
 23    51.42410915936105
 24    53.04252982460636
 25    73.27202702998316
 26    93.73256499952309
 27    99.75811372734623
 28    87.42661981921378
 29    62.72500488039223
 30    35.94922170150916
 31    16.252313048454578
 32     9.113850263750383
 33    16.252313048454376
 34    35.949221701508904
 35    62.72500488039191
 36    87.42661981921346
 37    99.75811372734591
 38    93.73256499952295
 39    73.27202702998316
 40    53.042529824606234
 41    51.42410915936091
 42    78.34391495927244
 43   126.40514471912235
 44   173.40631184463672
 45   196.14593773102814
 46   185.5270882202429
 47   151.18715764856273
 48   113.00468230300868
 49    88.15665583797713
 50    84.68909036528581
 51   104.86121175634645
 52   153.1437895574714
 53   242.06995072293347
 54   392.468242141531
 55   627.8707192077543
 56   964.3769683128417
 57  1397.8383124533095
 58  1891.573121569492
 59  2372.384175548199
 60  2747.645359937704
 61  2948.6774224724177
 62  2978.7566333215163
 63  2921.571651887968